Matches in SemOpenAlex for { <https://semopenalex.org/work/W1981458972> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1981458972 endingPage "5286" @default.
- W1981458972 startingPage "5279" @default.
- W1981458972 abstract "We present a new proof of a celebrated result of Gács and Körner that the common information is far less than the mutual information. Consider two sequences <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex Notation=TeX>$alpha_{1},ldotsalpha_{n}$</tex></formula> and <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex Notation=TeX>$beta_{1},ldots,beta_{n}$</tex> </formula> of random variables, where pairs <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex Notation=TeX>$(alpha_{1},beta_{1}),ldots, (alpha_{n},beta_{n})$</tex> </formula> are independent and identically distributed. Gács and Körner proved that it is not possible to extract “common information” from these two sequences unless the joint distribution matrix of random variables <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex Notation=TeX>$(alpha_{i},beta_{i})$</tex> </formula> is a block matrix." @default.
- W1981458972 created "2016-06-24" @default.
- W1981458972 creator A5033681881 @default.
- W1981458972 creator A5068045392 @default.
- W1981458972 date "2012-08-01" @default.
- W1981458972 modified "2023-09-27" @default.
- W1981458972 title "Chain Independence and Common Information" @default.
- W1981458972 cites W1549664537 @default.
- W1981458972 cites W1565516259 @default.
- W1981458972 cites W1995875735 @default.
- W1981458972 cites W2141432745 @default.
- W1981458972 cites W2170862660 @default.
- W1981458972 cites W390216103 @default.
- W1981458972 doi "https://doi.org/10.1109/tit.2012.2196022" @default.
- W1981458972 hasPublicationYear "2012" @default.
- W1981458972 type Work @default.
- W1981458972 sameAs 1981458972 @default.
- W1981458972 citedByCount "3" @default.
- W1981458972 countsByYear W19814589722016 @default.
- W1981458972 countsByYear W19814589722019 @default.
- W1981458972 countsByYear W19814589722020 @default.
- W1981458972 crossrefType "journal-article" @default.
- W1981458972 hasAuthorship W1981458972A5033681881 @default.
- W1981458972 hasAuthorship W1981458972A5068045392 @default.
- W1981458972 hasConcept C105795698 @default.
- W1981458972 hasConcept C114614502 @default.
- W1981458972 hasConcept C118615104 @default.
- W1981458972 hasConcept C122123141 @default.
- W1981458972 hasConcept C141513077 @default.
- W1981458972 hasConcept C171606756 @default.
- W1981458972 hasConcept C33923547 @default.
- W1981458972 hasConcept C41008148 @default.
- W1981458972 hasConcept C45357846 @default.
- W1981458972 hasConcept C49453240 @default.
- W1981458972 hasConcept C64943373 @default.
- W1981458972 hasConcept C94375191 @default.
- W1981458972 hasConceptScore W1981458972C105795698 @default.
- W1981458972 hasConceptScore W1981458972C114614502 @default.
- W1981458972 hasConceptScore W1981458972C118615104 @default.
- W1981458972 hasConceptScore W1981458972C122123141 @default.
- W1981458972 hasConceptScore W1981458972C141513077 @default.
- W1981458972 hasConceptScore W1981458972C171606756 @default.
- W1981458972 hasConceptScore W1981458972C33923547 @default.
- W1981458972 hasConceptScore W1981458972C41008148 @default.
- W1981458972 hasConceptScore W1981458972C45357846 @default.
- W1981458972 hasConceptScore W1981458972C49453240 @default.
- W1981458972 hasConceptScore W1981458972C64943373 @default.
- W1981458972 hasConceptScore W1981458972C94375191 @default.
- W1981458972 hasIssue "8" @default.
- W1981458972 hasLocation W19814589721 @default.
- W1981458972 hasOpenAccess W1981458972 @default.
- W1981458972 hasPrimaryLocation W19814589721 @default.
- W1981458972 hasRelatedWork W2001590474 @default.
- W1981458972 hasRelatedWork W2049353827 @default.
- W1981458972 hasRelatedWork W2064581818 @default.
- W1981458972 hasRelatedWork W2100419804 @default.
- W1981458972 hasRelatedWork W2142321825 @default.
- W1981458972 hasRelatedWork W2323735050 @default.
- W1981458972 hasRelatedWork W2804393355 @default.
- W1981458972 hasRelatedWork W4231695687 @default.
- W1981458972 hasRelatedWork W4248381363 @default.
- W1981458972 hasRelatedWork W2783398215 @default.
- W1981458972 hasVolume "58" @default.
- W1981458972 isParatext "false" @default.
- W1981458972 isRetracted "false" @default.
- W1981458972 magId "1981458972" @default.
- W1981458972 workType "article" @default.